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Finding the Fourth Proportional to 20,834.70, 31,254.48 and 7,321.72

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Solution

The fourth proportional to 20,834.70, 31,254.48 and 7,321.72 is: 10,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,834.70 : 31,254.48 = 7,321.72 : x
  2. Step 2: Convert to fraction form
    20,834.70/31,254.48 = 7,321.72/x
  3. Step 3: Cross multiply
    20,834.70x = 31,254.48 × 7,321.72
  4. Step 4: Simplify right side
    20,834.70x = 228,836,551.31
  5. Step 5: Solve for x
    x = 228,836,551.31/20,834.70
  6. Step 6: Final answer
    x = 10,983.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.